86334648207522 has 256 divisors, whose sum is σ = 209091117312000. Its totient is φ = 23415705815040.

The previous prime is 86334648207487. The next prime is 86334648207569. The reversal of 86334648207522 is 22570284643368.

It is a super-2 number, since 2×86334648207522² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12110341254 + ... + 12110348382.

It is an arithmetic number, because the mean of its divisors is an integer number (816762177000).

Almost surely, 2^{86334648207522} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86334648207522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104545558656000).

86334648207522 is an abundant number, since it is smaller than the sum of its proper divisors (122756469104478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86334648207522 is a wasteful number, since it uses less digits than its factorization.

86334648207522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553.

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 86334648207522 in words is "eighty-six trillion, three hundred thirty-four billion, six hundred forty-eight million, two hundred seven thousand, five hundred twenty-two".